Solution of Degenerate Convection-Diffusion Problems by the Method of Characteristics

DOI10.1137/S0036142998336643zbMath1011.65064OpenAlexW1995315845MaRDI QIDQ4539351

Jozef Kacur

Publication date: 8 July 2002

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142998336643

zbMATH Keywords

convergencenumerical resultsinitial-boundary value problemmethod of characteristicsrelaxation methoddegenerate convection diffusion equation

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (12)

Solution of convection--diffusion equation by the method of characteristics ⋮ Weak solutions of coupled variable-density flows and heat transfer in porous media ⋮ A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems ⋮ Solution of nonlinear convection-diffusion problems by a conservative Galerkin-characteristics method ⋮ On degenerate coupled transport processes in porous media with memory phenomena ⋮ A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation ⋮ A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption ⋮ Sharp 𝐿¹ a posteriori error analysis for nonlinear convection-diffusion problems ⋮ Solution of degenerate parabolic variational inequalities with convection ⋮ On the mathematical analysis and numerical approximation of a system of nonlinear parabolic PDEs ⋮ A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators ⋮ Analysis of Galerkin-characteristics algorithm for variably saturated flow in porous media

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